The Reflexivity Index of a Finite Distributive Lattice of Subspaces
We prove that a finite distributive lattice of subspaces of a vector space is reflexive and we determine its reflexivity index.
| Main Authors: | , |
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| Format: | Journal Article |
| Published: |
Elsevier BV
2014
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| Subjects: | |
| Online Access: | http://hdl.handle.net/20.500.11937/20655 |
| _version_ | 1848750368524075008 |
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| author | Harrison, K. Ward, Jo |
| author_facet | Harrison, K. Ward, Jo |
| author_sort | Harrison, K. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | We prove that a finite distributive lattice of subspaces of a vector space is reflexive and we determine its reflexivity index. |
| first_indexed | 2025-11-14T07:35:43Z |
| format | Journal Article |
| id | curtin-20.500.11937-20655 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:35:43Z |
| publishDate | 2014 |
| publisher | Elsevier BV |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-206552017-09-13T13:48:58Z The Reflexivity Index of a Finite Distributive Lattice of Subspaces Harrison, K. Ward, Jo Invariant subspace reflexivity Operator distributive subspace lattice We prove that a finite distributive lattice of subspaces of a vector space is reflexive and we determine its reflexivity index. 2014 Journal Article http://hdl.handle.net/20.500.11937/20655 10.1016/j.laa.2014.04.026 Elsevier BV restricted |
| spellingShingle | Invariant subspace reflexivity Operator distributive subspace lattice Harrison, K. Ward, Jo The Reflexivity Index of a Finite Distributive Lattice of Subspaces |
| title | The Reflexivity Index of a Finite Distributive Lattice of Subspaces |
| title_full | The Reflexivity Index of a Finite Distributive Lattice of Subspaces |
| title_fullStr | The Reflexivity Index of a Finite Distributive Lattice of Subspaces |
| title_full_unstemmed | The Reflexivity Index of a Finite Distributive Lattice of Subspaces |
| title_short | The Reflexivity Index of a Finite Distributive Lattice of Subspaces |
| title_sort | reflexivity index of a finite distributive lattice of subspaces |
| topic | Invariant subspace reflexivity Operator distributive subspace lattice |
| url | http://hdl.handle.net/20.500.11937/20655 |